ISSN:
1572-9036
Keywords:
Primary: 60G55, 60G57
;
Secondary: 60J80, 35J60
;
Branching particle system
;
superprocess
;
equilibrium
;
persistence
;
nonlinear partial differential equation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We consider a class of multitype particle systems in ℝ d undergoing spatial diffusion and critical stable multitype branching, and their limits known as critical stable multitype Dawson-Watanabe processes, or superprocesses. We show that for large classes of initial states, the particle process and the superprocess converge in distribution towards known equilibrium states as time tends to infinity. As an application we obtain the asymptotic behavior of a system of nonlinear partial differential equations whose solution is related to the distribution of both the particle process and the superprocess.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00737333
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